The main feature is that it allows you to start from a random position, which offers a bit more variation. I still have a lot of difficulty solving these positions!

(People that haven't unlocked the King's Challenge in the game but want to try it anyway can use the original configuration here. The goal is [spoiler]to rearrange the numbers so that each wheel contains numbers 1 through 6, with the numbers on the left wheel ordered clockwise, and those on the right counterclockwise, with the 1 on top on both wheels[/spoiler].)

SPOILER WARNING:

This comment may contain spoilers!

Soultaker, I absolutely love what you did with the King's Challenge on your site. It's like hundreds of different King's Challenges all rolled into one. I am definitely going to explore the puzzle's variations more. I really like the puzzle, and while it is frustrating, it was very rewarding to figure it out, especially the first time.

And if anyone ever wants to discuss possible strategy, solutions, tactics, etc. for this puzzle, I am game. Best puzzle in the game by my assessment.

I started off trying to think of a general strategy [spoiler](how to switch only two number, or swap two numbers next to each other, etc.)[/spoiler] but realized that when I reset the puzzle, [spoiler]the left circle had some numbers already in a row,[/spoiler] I started looking for solutions from the start.

Hmm, I hadn't even realized Earth & Sun was basically a simpler variant of the same puzzle!

Re: Binary: you are probably comparing it with this puzzle, right?

Although it looks similar, it is much easier than the King's Challenge because the puzzle from binary has only three labels (in that regard it's like Earth & Sun) and two buffer slots which make it a lot easier to move stuff around.